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The formula [tex][tex]$W = Fd$[/tex][/tex] shows the relationship between work, force, and distance. Solve this formula for distance.

A. [tex][tex]$d=\frac{W}{F}$[/tex][/tex]
B. [tex][tex]$d= WF$[/tex][/tex]
C. [tex][tex]$d=\frac{F}{W}$[/tex][/tex]
D. [tex][tex]$d=W-F$[/tex][/tex]

Sagot :

To solve the formula [tex]\( W = Fd \)[/tex] for distance [tex]\( d \)[/tex], follow these steps:

1. Start with the given formula:
[tex]\[ W = Fd \][/tex]
Here, [tex]\( W \)[/tex] represents work, [tex]\( F \)[/tex] represents force, and [tex]\( d \)[/tex] represents distance.

2. To isolate [tex]\( d \)[/tex], you need to divide both sides of the equation by [tex]\( F \)[/tex]:
[tex]\[ \frac{W}{F} = \frac{Fd}{F} \][/tex]

3. Simplify the right-hand side of the equation by canceling out [tex]\( F \)[/tex]:
[tex]\[ \frac{W}{F} = d \][/tex]

4. This gives the expression for distance [tex]\( d \)[/tex]:
[tex]\[ d = \frac{W}{F} \][/tex]

Therefore, the correct option is:
[tex]\[ d = \frac{W}{F} \][/tex]